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64199168 = 291111399
BaseRepresentation
bin1111010011100…
…1101000000000
311110210122200222
43310321220000
5112413333133
610212002212
71406453405
oct364715000
9143718628
1064199168
1133269870
1219600368
13103ba397
1487522ac
155981e98
hex3d39a00

64199168 has 40 divisors (see below), whose sum is σ = 139946400. Its totient is φ = 29178880.

The previous prime is 64199167. The next prime is 64199203. The reversal of 64199168 is 86199146.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (64199167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 11331.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 264199168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69973200).

64199168 is an abundant number, since it is smaller than the sum of its proper divisors (75747232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64199168 is a wasteful number, since it uses less digits than its factorization.

64199168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11412 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 64199168 is about 8012.4383304959. The cubic root of 64199168 is about 400.4145036518.

The spelling of 64199168 in words is "sixty-four million, one hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 11399 22798 45596 91192 125389 182384 250778 364768 501556 729536 1003112 1459072 2006224 2918144 4012448 5836288 8024896 16049792 32099584 64199168